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Diffuse optical tomography of highly heterogeneous media.

We investigate the performance of diffuse optical tomography to image highly heterogeneous media, such as breast tissue, as a function of background heterogeneity. To model the background heterogeneity, we have employed the functional information derived from Gadolinium-enhanced magnetic resonance images of the breast. We demonstrate that overall image quality and quantification accuracy worsens as the background heterogeneity increases. Furthermore we confirm the appearance of characteristic artifacts at the boundaries that scale with background heterogeneity. These artifacts are very similar to the ones seen in clinical examinations and can be misinterpreted as actual objects if not accounted for. To eliminate the artifacts and improve the overall image reconstruction, we apply a data-correction algorithm that yields superior reconstruction results and is virtually independent of the degree of the background heterogeneity.

Algorithms↗

Effects of acoustic heterogeneity in breast thermoacoustic tomography.

The effects of wavefront distortions induced by acoustic heterogeneities in breast thermoacoustic tomography (TAT) are studied. Amplitude distortions are shown to be insignificant for different scales of acoustic heterogeneities. For wavelength-scale, or smaller, heterogeneities, amplitude distortion of the wavefront is minor as a result of diffraction when the detectors are placed in the far field of the heterogeneities. For larger-scale heterogeneities at the parenchyma wall, by using a ray approach (geometric optics), we show that no refraction-induced multipath interference occurs and, consequently, that no severe amplitude distortion, such as is found in ultrasound tomography, exists. Next, we consider the effects of phase distortions (errors in time-of-flight) in our numerical studies. The numerical results on the spreads of point sources and boundaries caused by the phase distortions are in good agreement with the proposed formula. After that, we demonstrate that the blurring of images can be compensated for by using the distribution of acoustic velocity in the tissues in the reconstructions. The effects of the errors in the acoustical velocities on this compensation also are investigated. An approach to implement the compensation using only TAT data is proposed. Lastly, the differences in the effects of acoustic heterogeneity and the generation of speckles in breast TAT and breast ultrasound imaging are discussed.

Acoustics↗

Functional heterogeneity of immune complexes in epidermolysis bullosa acquisita.

Epidermolysis bullosa acquisita is an inflammatory subepidermal bullous disease characterized by circulating and tissue-bound complement-binding anti-basement membrane zone autoantibodies to type VII procollagen. Lesions are characterized by neutrophil-predominant inflammation in some patients, but not in others. These features suggest complement activation and generation of complement-derived chemotactic factors for leukocytes by basement membrane zone immune complexes may contribute to inflammation, but that complexes may be heterogeneous in the ability to express that function. In this study, we measured the ability of basement membrane zone complexes from patients with (n = 4) and without (n = 6) neutrophil predominant inflammation to activate complement and generate complement-derived chemotactic activity using a complement-dependent neutrophil attachment assay. The results showed considerable heterogeneity in neutrophil attachment among EBA patients and that both the incidence (4/4 vs 2/6) and magnitude (81 +/- 34 vs 12 +/- 10 neutrophils/mm basement membrane zone) of attachment were greater in patients with neutrophil-predominant inflammation. Functional heterogeneity appeared to be due to differences in the amounts of complement-activating complexes formed at the basement membrane zone, which in turn appeared to be due to differences in the availability of circulating complement-binding anti-basement membrane zone antibodies. This was suggested by a positive correlation (r = 0.72, p less than 0.01) between neutrophil attachment and complement-binding anti-basement membrane zone antibody titers and the observation that high levels of neutrophil attachment could be generated in skin from patients with epidermolysis bullosa acquisita who did not have neutrophil-predominant inflammation by treating their skin in vitro with complement-binding anti-basement membrane zone antibodies. These results suggest tissue complexes in epidermolysis bullosa acquisita are heterogeneous in the ability to activate complement and generate complement-derived chemotactins (C5a, C5a des arg), and that functional heterogeneity contributes to histologic heterogeneity. The functional immunologic-pathologic correlations observed in this study suggest epidermolysis bullosa acquisita is an autoimmune "collagen" disease.

Antigen-Antibody Complex↗

Heterogeneity in expression of the T4 epitope in black individuals.

The T-cell differentiation antigen T4/Leu3 has been described as a non-polymorphic molecule important in T-cell recognition of class II major histocompatibility complex antigens. We report the polymorphism of this molecule in black individuals as manifest by a heterogeneity of staining with OKT4 monoclonal antibody. No such heterogeneity was observed when staining with other monoclonal antibodies that bind to different epitopes of the same molecule. No heterogeneity of staining with any of the monoclonal antibodies was observed in whites. Three patterns of OKT4 staining emerged: intact, deficient, and intermediate. This heterogeneity is likely to be due to an intrinsic heterogeneity in T4 epitope expression and not secondary to an interfering plasma factor as shown by the preservation of the T4 epitope pattern after a 3-day culture in the presence or absence of mitogen. Family studies strongly suggest that this heterogeneity in T4 epitope expression is inherited in an autosomal codominant fashion.

Africa↗

Complexity of the structure of particles containing heterogeneous nuclear RNA as demonstrated by ribonuclease treatment.

Brain ribonucleoprotein particles containing heterogeneous nuclear RNA (hnRNA) and a large number of polypeptides ranging from 23000 to 150000 molecular weight were treated with pancreatic and T1 ribonucleases at low (0.1 or 0.5 microng plus 5 or 25 units/ml), high (2 microng plus 100 units/ml) and very high (20 microng plus 1000 units/ml) concentrations. At low enzyme concentration, a large fraction of the particle material accumulated at 35-45 S. The accumulation was more marked for proteins in the 30000-38000 molecular weight range. Heterogeneous complexes containing a large spectrum of proteins with a characteristic distribution were disclosed between 60 and 200 S. At high ribonuclease concentration the total quantity of proteins at 35-45 S decreased, but the proteins of 30000-38000 molecular weight predominated. Heterogeneous complexes were also present. Finally at very high enzyme concentration, the particles were almost entirely hydrolyzed. Only a small amount of heterogeneous complexes subsisted at 30-190 S. The RNA content of the remaining ribonucleoprotein complexes as well as its size decreased upon ribonuclease treatment as shown by CsCl density determination and electrophoretic analysis. The results suggested that the stability of the complexes depended upon protein-protein as well as RNA-protein interactions. They also showed that sequences up to 200-300 nucleotides were protected by proteins against ribonuclease. The results were compatible with the existence of at least 3 constituents in the particles. The previously defined monoparticle population accumulating at 35-45 S was heterogeneous in respect to ribonuclease sensitivity and protein composition. The 30000-38000 molecular weight proteins accumulating at low ribonuclease and predominating afterwards were assumed to belong to monoparticles alpha. Monoparticles beta contained a larger range of proteins more easily released by the enzymes. The heterogeneous complexes were a third constituent whose relationship with the monoparticles war not established yet. A large fraction of the particle phosphoproteins was associated to these complexes. On the basis of our experiments in vitro it is assumed that monoparticle alpha can be preferentially isolated from the nuclei under conditions where endogeneous ribonuclease is high and (or) not inhibited. This might explain why, in certain cases, only one or a few proteins were described in nuclear particles instead of the complete set present in the native particles.

Animals↗

Electrophysiological and anatomic heterogeneity in evolving canine myocardial infarction.

Although the heterogeneity of electrophysiological properties is increased after myocardial infarction, the degree of this heterogeneity has not been well quantitated and its relationship to the histological changes that occur after infarction has not been carefully examined. The purpose of the present study was to test the hypothesis that alterations in electrophysiological properties in healing canine infarction are related to particular histological changes. Experimental infarction was produced by left anterior descending coronary ligation. Six dogs were used as controls, six were studied 5 days following, and six were studied 8 weeks following infarction. Pacing thresholds, effective refractory periods, and activation-recovery times were determined at 112 sites on the anterior left ventricle using a multiple electrode plaque. Conduction velocity, conduction-heterogeneity index--a measure of conduction disturbance--and histology of the epimyocardium underlying the plaque were assessed. The effective refractory periods and activation-recovery times were greater in both infarction groups, most prominently in the subacute group. In subacute infarction, significant postrepolarization refractoriness was present. In healed infarction, conduction velocity was decreased and the conduction-heterogeneity index was increased compared to controls and subacute infarction. Dispersion of excitability and repolarization was associated with more extensive local scarring. Dispersion of myocardial fiber angles was associated with the conduction-heterogeneity index. Some but not all of the electrophysiological changes noted in the animals with infarction were also seen in sham operated animals. Thus, heterogeneity in repolarization and refractoriness is greatest in the subacute phase of myocardial infarction and is associated with the extent of local cell death. In contrast, disturbances in conduction are greatest in healed infarction and associated with disarray of myocardial fibers.

Animals↗

Regional hyperkalemia increases ventricular defibrillation energy requirements: role of electrical heterogeneity in defibrillation.

INTRODUCTION: Increased spatial electrical heterogeneity has been associated with impaired defibrillation efficacy. The current study investigated the relationship between electrical heterogeneity and defibrillation efficacy by manipulating spatial electrical heterogeneity. METHODS AND RESULTS: We increased spatial electrical heterogeneity by infusing potassium chloride (2 to 4 mEq/hour) or placebo in the left anterior descending artery in 13 pentobarbital anesthetized swine. Electrophysiologic measurements at five myocardial sites and defibrillation energy requirement (DER) values were determined at baseline and during regional hyperkalemia (n = 7) or placebo (n = 6). Regional potassium infusion was titrated to a 20% reduction in action potential duration in the perfused region. Regional hyperkalemia increased biphasic DER values by 87% (P = 0.02), whereas infusion of placebo did not alter defibrillation efficacy. Regional hyperkalemia decreased myocardial repolarization and refractoriness in the perfused region by 21% (P < 0.001) and 18% (P = 0.01), respectively. However, regional hyperkalemia increased ventricular fibrillation cycle length (VFCL) by 39% (P = 0.008). Consequently, dispersions of repolarization, refractoriness, and VFCL were significantly increased by 169%, 92%, and 200%, respectively. Regional hyperkalemia also increased ventricular conduction time to the perfused region by 54% (P = 0.006), indicating conduction velocity dispersion, while not affecting local pacing threshold or local voltage gradient. CONCLUSION: Regional hyperkalemia increased DER values. Regional hyperkalemia likely impairs defibrillation by increasing myocardial electrical heterogeneity, which supports the theory that electrical heterogeneity promotes nonuniform propagation of early postshock activations, thereby inhibiting defibrillation.

Animals↗

River-aquifer interactions, geologic heterogeneity, and low-flow management.

Low river flows are commonly controlled by river-aquifer exchange, the magnitude of which is governed by hydraulic properties of both aquifer and aquitard materials beneath the river. Low flows are often important ecologically. Numerical simulations were used to assess how textural heterogeneity of an alluvial system influences river seepage and low flows. The Cosumnes River in California was used as a test case. Declining fall flows in the Cosumnes River have threatened Chinook salmon runs. A ground water-surface water model for the lower river basin was developed, which incorporates detailed geostatistical simulations of aquifer heterogeneity. Six different realizations of heterogeneity and a homogenous model were run for a 3-year period. Net annual seepage from the river was found to be similar among the models. However, spatial distribution of seepage along the channel, water table configuration and the level of local connection, and disconnection between the river and aquifer showed strong variations among the different heterogeneous models. Most importantly, the heterogeneous models suggest that river seepage losses can be reduced by local reconnections, even when the regional water table remains well below the riverbed. The percentage of river channel responsible for 50% of total river seepage ranged from 10% to 26% in the heterogeneous models as opposed to 23% in the homogeneous model. Differences in seepage between the models resulted in up to 13 d difference in the number of days the river was open for salmon migration during the critical fall months in one given year.

Calibration↗

Marked regional heterogeneity in blood flow within a single skeletal muscle at rest and during exercise hyperaemia in the rabbit.

In 1985 both Pendergast et al. and Piiper et al. described a major regional heterogeneity in blood flow within single skeletal muscles both at rest and during exercise. Based on the microsphere method they described large variations in blood flow between muscle samples as large as 1 g each. The aims of the present study were: (1) To test this notion of regional heterogeneity in microsphere deposition within single skeletal muscles both at rest and during exercise. (2) To compare the distribution of microspheres with other blood flow tracers. (3) To test whether or not any heterogeneity was due to vasomotion in small arteries or arterioles. Microspheres were infused into anaesthetized rabbits over either 10, 30 or 120 s, or 10 min. Exercise was mimicked by tetanic contractions obtained by electrical stimulation of the motor nerves. Three hindleg muscles were divided into samples of 0.25 g each. Regional heterogeneity was expressed as the coefficient of variation corrected for statistical distribution of microspheres (CVc). The CVc at rest was about 0.34. The CVc was unaffected by the various infusion periods and did not change during exercise. Simultaneous infusions of microspheres and 86Rb+ or antipyrine gave high correlations between the two blood flow tracers, with all r values exceeding 0.83 (n = 18). We conclude that the microsphere method provides reliable estimates for regional blood flow within single skeletal muscles. The distribution of blood flow was markedly heterogeneous both at rest and during exercise. The heterogeneity in blood flow was apparently not a result of vasomotion.

Animals↗

The organization of heterogenic reflexes among muscles crossing the ankle joint in the decerebrate cat.

1. Mechanical actions of heterogenic (intermuscular) reflexes arising from proprioceptors in flexor and extensor ankle muscles were measured in intercollicular and premammillary decerebrate cats. Length inputs were applied to the freed tendons of one of a pair of muscles crossing the ankle joint and resulting changes in force in both muscles were measured. Interactions between autogenic and heterogenic reflexes were studied by applying length changes to both muscles. 2. A consistent asymmetry was observed in the heterogenic inhibition between the single-joint antagonists soleus and tibialis anterior (TA). Inhibition from soleus to TA was weak or absent during the reflex activation of TA. In contrast, a strong heterogenic inhibition was consistently observed from TA to soleus during the activation of soleus by a crossed-extension reflex. The effect of this inhibition in the intact joint is to increase the apparent mechanical stiffness of soleus. 3. Mutual synergism among soleus, medial gastrocnemius (MG) and lateral gastrocnemius (LG) was demonstrated only at low to moderate forces by the observation of excitatory reflexes among them. During a naturally or electrically evoked crossed-extension reflex, however, a unidirectional inhibitory reflex from MG and LG to soleus was observed. This inhibition increased with force in MG or LG. These results suggest that the knee and ankle joints become more tightly linked mechanically at high forces since the stiffness of the biarticular gastrocnemius muscle predominates over that of the uniarticular soleus. 4. Under quiescent conditions (no resting muscle activation), mutual synergism was obeyed among the ankle extensors soleus, LG and MG and also between the pretibial flexors TA and extensor digitorum longus (EDL). Moreover, inhibition was generally observed between a pretibial flexor and an ankle extensor. Departures from this expected pattern of heterogenic reflexes occurred when the muscle groups were activated by crossed-extension and flexion reflexes. Reflexes onto soleus, TA and EDL reversed in sign or increased in magnitude. 5. The observed patterns of reflex connectivity among the ankle flexors and extensors were similar in both intercollicular and premammillary preparations, although changes in reflex strength were sometimes noted in cases where a second, lower transection was performed during the experiment. 6. It is argued from the large magnitudes of certain heterogenic reflexes that the mechanical response properties of muscles crossing the ankle joint in the intact animal are not dominated by autogenic reflexes and intrinsic mechanical properties.(ABSTRACT TRUNCATED AT 400 WORDS)

Animals↗

Effect of edema, relative biological effectiveness, and dose heterogeneity on prostate brachytherapy.

Many factors influence response in low-dose-rate (LDR) brachytherapy of prostate cancer. Among them, edema, relative biological effectiveness (RBE), and dose heterogeneity have not been fully modeled previously. In this work, the generalized linear-quadratic (LQ) model, extended to account for the effects of edema, RBE, and dose heterogeneity, was used to assess these factors and their combination effect. Published clinical data have shown that prostate edema after seed implant has a magnitude (ratio of post- to preimplant volume) of 1.3-2.0 and resolves exponentially with a half-life of 4-25 days over the duration of the implant dose delivery. Based on these parameters and a representative dose-volume histogram (DVH), we investigated the influence of edema on the implant dose distribution. The LQ parameters (alpha=0.15 Gy(-1) and alpha/beta=3.1 Gy) determined in earlier studies were used to calculate the equivalent uniform dose in 2 Gy fractions (EUD2) with respect to three effects: edema, RBE, and dose heterogeneity for 125I and 103Pd implants. The EUD2 analysis shows a negative effect of edema and dose heterogeneity on tumor cell killing because the prostate edema degrades the dose coverage to tumor target. For the representative DVH, the V100 (volume covered by 100% of prescription dose) decreases from 93% to 91% and 86%, and the D90 (dose covering 90% of target volume) decrease from 107% to 102% and 94% of prescription dose for 125I and 103Pd implants, respectively. Conversely, the RBE effect of LDR brachytherapy [versus external-beam radiotherapy (EBRT) and high-dose-rate (HDR) brachytherapy] enhances dose effect on tumor cell kill. In order to balance the negative effects of edema and dose heterogeneity, the RBE of prostate brachytherapy was determined to be approximately 1.2-1.4 for 125I and 1.3-1.6 for 103Pd implants. These RBE values are consistent with the RBE data published in the literature. These results may explain why in earlier modeling studies, when the effects of edema, dose heterogeneity, and RBE were all ignored simultaneously, prostate LDR brachytherapy was reported to show an overall similar dose effect as EBRT and HDR brachytherapy, which are independent of edema and RBE effects and have a better dose coverage.

Body Burden↗

Fundamental form of a population TCP model in the limit of large heterogeneity.

A population tumor control probability (TCP) model for fractionated external beam radiotherapy, based on Poisson statistics and in the limit of large parameter heterogeneity, is studied. A reduction of a general eight-parameter TCP equation, which incorporates heterogeneity in parameters characterizing linear-quadratic radiosensitivity, repopulation, and clonogen number, to an equation with four parameters is obtained. The four parameters represent the mean and standard deviation for both clonogen number and a generalized radiosensitivity that includes linear-quadratic and repopulation descriptors. Further, owing to parameter inter-relationship, it is possible to express these four parameters as three ratios of parameters in the large heterogeneity limit. These ratios can be directly linked to two defining features of the TCP dose response: D50 and gamma50. In the general case, the TCP model can be written in terms of D50, gamma50 and a third parameter indicating the ratio of the levels of heterogeneity in clonogen number and generalized radiosensitivity; however, the third parameter is unnecessary when either of these two sources of heterogeneity is dominant. It is shown that heterogeneity in clonogen number will have little impact on the TCP formula for clinical scenarios, and thus it will generally be the case that the fundamental form of the Poisson-based population TCP model can be specified completely in terms of D50 and gamma50: TCP= 1/2 erfc[square root of pi(gamma50)(D50/D-1)]. This implies that limited radiobiological information can be determined by the analysis of dose response data: information about parameter ratios can be ascertained, but knowledge of absolute values for the fundamental radiobiological parameters will require independent auxiliary measurements.

Journal Article↗

Tissue inhomogeneity correction for brachytherapy sources in a heterogeneous phantom with cylindrical symmetry.

In brachytherapy it is customary to perform dose calculations for an implant assuming that the tumor and surrounding tissues constitute a uniform, homogeneous medium equivalent to water. In this work, the validity of the above assumption is studied quantitatively for points along the transverse axis of 103Pd, 125I, and 241Am brachytherapy sources, using measured and Monte Carlo calculated dose rates in homogeneous and heterogeneous media with cylindrical symmetry. The irradiation geometry chosen was a single source implanted in a Solid Water phantom which had a 1- or 2-cm-thick cylindrical Solid Water shell replaced by a polystyrene shell. The Monte Carlo simulations were performed using the integrated tiger series CYLTRAN Code. Experimental data were obtained for the same geometry to test the validity of the Monte Carlo calculations for a heterogeneous phantom. Measured dose rates just beyond a 2-cm-thick polystyrene heterogeneity were observed to be greater than those in a homogeneous Solid Water phantom by about 130%, 55%, and 10% for 103Pd, 125I, and 241Am, respectively. Thus the effect of a relatively small polystyrene heterogeneity in Solid Water can be substantial for lower energy photons. This perturbation of dose was found to increase steeply with decreasing energy and increasing size (thickness) of inhomogeneity. A simple dose calculation formalism has been developed to predict dose rate in a heterogeneous phantom with cylindrical symmetry, which uses as input the radial dose functions of the uniform media comprising the heterogeneous phantom. Dose rate predictions using this formalism are in reasonable agreement with the experimental data and the Monte Carlo calculated values.(ABSTRACT TRUNCATED AT 250 WORDS)

Americium↗

rpoB-based microbial community analysis avoids limitations inherent in 16S rRNA gene intraspecies heterogeneity.

Contemporary microbial community analysis frequently involves PCR-amplified sequences of the 16S rRNA gene (rDNA). However, this technology carries the inherent problem of heterogeneity between copies of the 16S rDNA in many species. As an alternative to 16S rDNA sequences in community analysis, we employed the gene for the RNA polymerase beta subunit (rpoB), which appears to exist in one copy only in bacteria. In the present study, the frequency of 16S rDNA heterogeneity in bacteria isolated from the marine environment was assessed using bacterial isolates from the red alga Delisea pulchra and from the surface of a marine rock. Ten strains commonly used in our laboratory were also assessed for the degree of heterogeneity between the copies of 16S rDNA and were used to illustrate the effect of this heterogeneity on microbial community pattern analysis. The rock isolates and the laboratory strains were also used to confirm nonheterogeneity of rpoB, as well as to investigate the versatility of the primers. In addition, a comparison between 16S rDNA and rpoB PCR-DGGE (denaturing gradient gel electrophoresis)-based community analyses was performed using a DNA mixture of nine isolates from D. pulchra. Eight out of 14 isolates from D. pulchra, all rock isolates, and 6 of 10 laboratory strains displayed multiple bands for 16S rDNA when analyzed by DGGE. There was no indication of heterogeneity for either the rock isolates or the laboratory strains when rpoB was used for PCR-DGGE analysis. Microbial community pattern analysis using 16S rDNA PCR-DGGE showed an overestimation of the number of laboratory strains in the sample, while some strains were not represented. Therefore, the 16S rDNA PCR-DGGE-based community analysis was proven to be severely limited by 16S rDNA heterogeneity. The mixture of isolates from D. pulchra proved to be more accurately described using rpoB, compared to the 16S rDNA-based PCR-DGGE.

Bacteria↗

Cytological and architectural heterogeneity in ductal carcinoma in situ of the breast.

AIM: The traditional architecture based classification system of ductal carcinoma in situ (DCIS) has been criticised on the grounds that individual lesions often show more than one pattern resulting in a large mixed category. New DCIS classification systems have emphasised the importance of cytological grade, which is reputed to be more uniformly expressed throughout a lesion. This study investigates the hypothesis that cytological heterogeneity is less common than architectural heterogeneity within DCIS lesions. METHODS: 121 cases of DCIS were graded as poorly, intermediately, or well differentiated according to a recently developed classification system that employs cytonuclear morphology as the major diagnostic criterion. Cases were categorised as pure when only one grade was present and as mixed if more than one grade was observed. Architecturally the cases were classified as solid, cribriform, micropapillary, or papillary and were described as pure if only one architectural pattern was present and as mixed if more than one pattern was seen. The incidence of cytological heterogeneity was compared with that of architectural heterogeneity. The presence of necrosis was assessed as an independent parameter and the relation to DCIS grade evaluated. RESULTS: Using the cytology based classification system 102 cases (84%) were classified as pure (65 poorly differentiated, 25 intermediately differentiated, and 12 well differentiated) and 19 cases (16%) as mixed. Extensive necrosis was observed in 61 (50%) cases and was closely correlated to DCIS grade. Architecturally 46 cases (38%) were classified as pure (38 solid, 5 cribriform, 2 micropapillary, and 1 papillary) and 75 (62%) as mixed. CONCLUSIONS: Cytological heterogeneity is much less common than architectural heterogeneity in DCIS lesions. The assessment of cytonuclear morphology is therefore likely to provide more consistent information about DCIS, particularly in small biopsy specimens where only part of the lesion may be available for examination.

Adult↗

Heterogeneous gap junction remodeling stabilizes reentrant circuits in the epicardial border zone of the healing canine infarct: a computational study.

The ventricular tachycardias (VTs) that originate in the 5-day epicardial border zone (EBZ) of the healing canine infarcted heart are due to reentrant excitation. In cells surviving in the EBZ, both sarcolemmal ionic channels and gap junction conductance and distribution are remodeled. We previously showed that the heterogeneities in sodium current (I(Na)) and L-type calcium channel current (I(CaL)) of the center and outer pathway cells result in a homogenization of the refractory period that in turn stabilizes reentrant VTs for approximately 10 beats. To understand how heterogeneities in transverse gap junctional conductance remodeling reported experimentally contribute to the stability of these tachycardias, we studied the dynamics of reentering waves in two-dimensional computer models of the EBZ. First we used a computer model with homogeneous ionic channel properties [infarcted border zone cell model (IZ)]. These simulations show that, in the absence of heterogeneities in ionic channel properties, reentrant waves tend to drift to localized regions of uncoupling and stabilize there. Second, we used a computer model with a more realistic representation of the heterogeneous EBZ, including cellular models for both the center (IZ(c)) and outer (IZ(o)) pathway cells. These simulations show that neither a region of uniform uncoupling nor a step transition between two regions with different side-to-side (transverse) cell coupling stabilizes reentry in this substrate. However, an area of localized uncoupling did stabilize reentry in such a model. We propose that in addition to the heterogeneities in I(Na) and I(CaL) properties, heterogeneities in gap junctional conductance in the EBZ causing regions of localized uncoupling stabilize VT in the EBZ. Previous experimental in situ activation maps of the 5-day EBZ show that the lines of block form in regions of slow transverse propagation. This is consistent with our findings that areas of localized uncoupling stabilize reentry.

Animals↗

Flow-independent heterogeneity of brain capillary plasma perfusion after blood exchange with a Newtonian fluid.

Previous studies from our group have indicated a heterogeneity of plasma transit times in brain capillaries. The heterogeneity was decreased with increasing cerebral blood flow during hypercapnia. In the present study, the hypothesis was tested that these apparent changes in microvascular plasma perfusion heterogeneity depend on the existence of red blood cells (RBC). To this end, the blood of anesthetized and paralyzed rats was replaced by a shear rate-independent oxygen-carrying substitute, ultrapurified polymerized bovine hemoglobin (UPBHB). Cerebral blood flow ([14C]iodoantipyrine technique) or microvascular perfusion pattern (intravenous bolus injection of Evans blue and decapitation 3-4 s later) was measured. After exchange transfusion with UPBHB, cerebral blood flow still varied with arterial PCO2, whereas in contrast to the unexchanged condition, the heterogeneity of the intracapillary Evans blue concentration remained unchanged. Compared with the unexchanged normocapnic condition, the heterogeneity of intracapillary dye concentration was decreased by one-quarter. It is concluded that RBC contribute to the microvascular perfusion heterogeneity in the brain.

Animals↗

Heterogeneity of L-type calcium current density in coronary smooth muscle.

Heterogeneity of vascular responses to physiological and pharmacological stimuli has been demonstrated throughout the coronary circulation. Typically, this heterogeneity is based on vessel size. Although the cellular mechanisms for this heterogeneity are unknown, one plausible factor may be heterogeneous distribution of ion channels important in regulation of vascular tone. Because of the importance of voltage-gated Ca2+ channels in regulation of vascular tone, we hypothesized that these channels would be unequally distributed throughout the coronary arterial bed. To test this hypothesis, voltage-gated Ca2+ current was measured in smooth muscle from conduit arteries (>1.0 mm), small arteries (200-250 microm), and large arterioles (75-125 microm) of miniature swine using whole cell voltage-clamp techniques. With 2 mM Ca2+ or 10 mM Ba2+ as charge carrier, voltage-gated Ca2+ current density was inversely related to arterial diameter, i.e., large arterioles > small arteries > conduit. Peak inward currents (10 mM Ba2+) were increased approximately 2.5- and approximately 1.5-fold in large arterioles and small arteries, respectively, compared with conduit arteries (-5.58 +/- 0.53, -3.54 +/- 0.34, and -2.26 +/- 0.31 pA/pF, respectively). In physiological Ca2+ (2 mM), small arteries demonstrated increased inward current at membrane potentials within the physiological range for vascular smooth muscle (as negative as -40 mV) compared with conduit arteries. In addition, cells from large arterioles showed a negative shift in the membrane potential for half-maximal activation compared with small and conduit arteries (-13.23 +/- 0.88, -6.22 +/- 1.35, and -8.62 +/- 0.81 mV, respectively; P < 0.05). Voltage characteristics and dihydropyridine sensitivity identified this Ca2+ current as predominantly L-type current in all arterial sizes. We conclude that L-type Ca2+ current density is inversely related to arterial diameter within the coronary arterial vasculature. This heterogeneity of Ca2+ current density may provide, in part, the basis for functional heterogeneity within the coronary circulation.

Animals↗